If tan8 θ + cot8 θ = m, then what is the value of tan θ + cot θ

1
\(\sqrt{\sqrt{\mathrm{m}+2}+2}\)
2
\(\sqrt{\sqrt{\sqrt{m+4}+2}}\)
3
\(\sqrt{\sqrt{\sqrt{m+2}+2}+2}\)
4
\(\sqrt{\sqrt{\sqrt{\mathrm{m}+4}+2}+2}\)

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